35368934694912 has 2016 divisors, whose sum is σ = 137032910396928. Its totient is φ = 8908838535168.

The previous prime is 35368934694911. The next prime is 35368934694937. The reversal of 35368934694912 is 21949643986353.

35368934694912 is a `hidden beast` number, since 3 + 5 + 3 + 6 + 8 + 93 + 46 + 9 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35368934694911) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54163758778 + ... + 54163759430.

It is an arithmetic number, because the mean of its divisors is an integer number (67972673808).

Almost surely, 2^{35368934694912} is an apocalyptic number.

35368934694912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35368934694912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68516455198464).

35368934694912 is an abundant number, since it is smaller than the sum of its proper divisors (101663975702016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35368934694912 is an equidigital number, since it uses as much as digits as its factorization.

35368934694912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 701 counting only the distinct ones).

The product of its digits is 906992640, while the sum is 72.

The spelling of 35368934694912 in words is "thirty-five trillion, three hundred sixty-eight billion, nine hundred thirty-four million, six hundred ninety-four thousand, nine hundred twelve".